Maths Olympiad Prep

Library /Brazilian Mathematical Olympiad

Brazilian Mathematical Olympiad

120 problems here, rated 4.4 to 7.5 on our scale (AIME to National Olympiad, round 2). 120 of them ask for a proof.

Algebra 24Combinatorics 27Geometry 48Number theory 21
#TopicDiffTypeYear
1 Combinatorics 4.4 proof — open
2 Geometry 4.5 proof — open
3 Geometry 4.5 proof — open
4 Geometry 4.5 proof — open
5 Geometry 4.5 proof — open
6 Geometry 4.5 proof — open
7 Algebra 4.5 proof — open
8 Geometry 4.5 proof — open
9 Geometry 4.5 proof — open
10 Number theory 4.5 proof — open
11 Geometry 4.5 proof — open
12 Algebra 4.5 proof — open
13 Number theory 4.6 proof — open
14 Number theory 4.6 proof — open
15 Number theory 4.6 proof — open
16 Geometry 4.6 proof — open
17 Algebra 4.6 proof — open
18 Geometry 4.6 proof — open
19 Combinatorics 4.6 proof — open
20 Number theory 4.6 proof — open
21 Algebra 4.7 proof — open
22 Number theory 4.7 proof — open
23 Number theory 4.7 proof — open
24 Geometry 4.7 proof — open
25 Algebra 4.7 proof — open
26 Geometry 4.7 proof — open
27 Geometry 4.7 proof — open
28 Algebra 4.7 proof — open
29 Combinatorics 4.7 proof — open
30 Geometry 4.7 proof — open
31 Combinatorics 4.7 proof — open
32 Geometry 4.8 proof — open
33 Combinatorics 4.8 proof — open
34 Algebra 4.8 proof — open
35 Number theory 4.8 proof — open
36 Number theory 4.8 proof — open
37 Geometry 4.8 proof — open
38 Combinatorics 4.8 proof — open
39 Algebra 4.8 proof — open
40 Algebra 4.8 proof — open
41 Geometry 4.9 proof — open
42 Geometry 4.9 proof — open
43 Combinatorics 4.9 proof — open
44 Algebra 4.9 proof — open
45 Algebra 4.9 proof — open
46 Number theory 5.0 proof — open
47 Combinatorics 5.0 proof — open
48 Number theory 5.0 proof — open
49 Geometry 5.0 proof — open
50 Number theory 5.0 proof — open
51 Geometry 5.0 proof — open
52 Geometry 5.0 proof — open
53 Combinatorics 5.0 proof — open
54 Geometry 5.0 proof — open
55 Geometry 5.1 proof — open
56 Algebra 5.1 proof — open
57 Geometry 5.1 proof — open
58 Geometry 5.2 proof — open
59 Number theory 5.2 proof — open
60 Geometry 5.3 proof — open
61 Number theory 5.3 proof — open
62 Combinatorics 5.4 proof — open
63 Geometry 5.4 proof — open
64 Geometry 5.5 proof — open
65 Combinatorics 5.5 proof — open
66 Algebra 5.5 proof — open
67 Algebra 5.5 proof — open
68 Number theory 5.5 proof — open
69 Geometry 5.5 proof — open
70 Number theory 5.6 proof — open
71 Algebra 5.6 proof — open
72 Geometry 5.6 proof — open
73 Geometry 5.7 proof — open
74 Algebra 5.7 proof — open
75 Combinatorics 5.7 proof — open
76 Combinatorics 5.7 proof — open
77 Number theory 5.7 proof — open
78 Geometry 5.7 proof — open
79 Geometry 5.7 proof — open
80 Combinatorics 5.7 proof — open
81 Geometry 5.7 proof — open
82 Geometry 5.7 proof — open
83 Geometry 5.7 proof — open
84 Number theory 5.7 proof — open
85 Algebra 5.7 proof — open
86 Number theory 5.8 proof — open
87 Combinatorics 5.8 proof — open
88 Geometry 5.8 proof — open
89 Geometry 5.9 proof — open
90 Geometry 6.0 proof — open
91 Combinatorics 6.0 proof — open
92 Geometry 6.0 proof — open
93 Algebra 6.0 proof — open
94 Geometry 6.2 proof — open
95 Algebra 6.2 proof — open
96 Geometry 6.2 proof — open
97 Algebra 6.2 proof — open
98 Geometry 6.3 proof — open
99 Combinatorics 6.3 proof — open
100 Geometry 6.3 proof — open
101 Geometry 6.3 proof — open
102 Combinatorics 6.3 proof — open
103 Algebra 6.5 proof — open
104 Combinatorics 6.5 proof — open
105 Combinatorics 6.5 proof — open
106 Algebra 6.5 proof — open
107 Combinatorics 6.6 proof — open
108 Geometry 6.8 proof — open
109 Geometry 6.8 proof — open
110 Combinatorics 6.8 proof — open
111 Combinatorics 6.8 proof — open
112 Combinatorics 6.8 proof — open
113 Algebra 7.0 proof — open
114 Combinatorics 7.0 proof — open
115 Combinatorics 7.1 proof — open
116 Geometry 7.1 proof — open
117 Number theory 7.1 proof — open
118 Number theory 7.2 proof — open
119 Combinatorics 7.4 proof — open
120 Algebra 7.5 proof — open
These are sorted by difficulty within the competition, but they aren't a course. The track is the route through, drawn from all the sources at once.